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Simplifying 5 + -1(x + 4) = 3x + -1(x + -6) Reorder the terms: 5 + -1(4 + x) = 3x + -1(x + -6) 5 + (4 * -1 + x * -1) = 3x + -1(x + -6) 5 + (-4 + -1x) = 3x + -1(x + -6) Combine like terms: 5 + -4 = 1 1 + -1x = 3x + -1(x + -6) Reorder the terms: 1 + -1x = 3x + -1(-6 + x) 1 + -1x = 3x + (-6 * -1 + x * -1) 1 + -1x = 3x + (6 + -1x) Reorder the terms: 1 + -1x = 6 + 3x + -1x Combine like terms: 3x + -1x = 2x 1 + -1x = 6 + 2x Solving 1 + -1x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x 1 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -3x = 6 + 0 1 + -3x = 6 Add '-1' to each side of the equation. 1 + -1 + -3x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 6 + -1 -3x = 6 + -1 Combine like terms: 6 + -1 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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